If the side of a square is tripled, how many times will its area be as

1.	If the side of a square is tripled, how many times will its area be as compared to the area of the original square?
Answer» Let the side of the square be a. ∴ Area of a square = (side)² = a² New side of the square = 3 × a = 3a ∴ New area of the square = (3a)² = 9a² = 9 × area of original square ∴ If the side of a square is tripled, its area will become 9 times the area of the original square.

If the side of a square is tripled, how many times will its area be as compared to the area of the original square?

Answer»

Let the side of the square be a.

∴ Area of a square = (side)² = a² New side of the square = 3 × a = 3a

∴ New area of the square = (3a)²

= 9a²

= 9 × area of original square

∴ If the side of a square is tripled, its area will become 9 times the area of the original square.